To find the measure of an exterior angle of a regular polygon, you can use the formula:
\[ \text{Exterior Angle} = \frac{360^\circ}{n} \]
where \( n \) is the number of sides of the polygon.
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Pentagon (n=5): \[ \text{Exterior Angle} = \frac{360^\circ}{5} = 72^\circ \]
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36-gon (n=36): \[ \text{Exterior Angle} = \frac{360^\circ}{36} = 10^\circ \]
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18-gon (n=18): \[ \text{Exterior Angle} = \frac{360^\circ}{18} = 20^\circ \]
Thus, the measures of the exterior angles are:
- Pentagon: \( 72^\circ \)
- 36-gon: \( 10^\circ \)
- 18-gon: \( 20^\circ \)